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Finding the Fourth Proportional to 198,692.44, 297,852.30 and 72,301.15

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Solution

The fourth proportional to 198,692.44, 297,852.30 and 72,301.15 is: 108,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692.44 : 297,852.30 = 72,301.15 : x
  2. Step 2: Convert to fraction form
    198,692.44/297,852.30 = 72,301.15/x
  3. Step 3: Cross multiply
    198,692.44x = 297,852.30 × 72,301.15
  4. Step 4: Simplify right side
    198,692.44x = 21,535,063,075.51
  5. Step 5: Solve for x
    x = 21,535,063,075.51/198,692.44
  6. Step 6: Final answer
    x = 108,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.